Trying to escape your younger sibling, you go to stay with one of your friends f

Question

Trying to escape your younger sibling, you go to stay with one of your friends for the weekend! Your friend's little sister wants to go to the mall, too! Since you don't have access to previous data, you are forced to use a t-distribution for your test when evaluating whether or not your friend's little sister can wait 60 minutes before bothering you. If your friend's little sister can wait significantly longer than 60 minutes at the .05 level of significance, then you and your friend will take her to the mall. She bugs you so many times while you are over there that you are able to take 18 observations in order to create your hypothesis test. Once again, if your friend's little sister has waited significantly longer than 60 minutes you have agreed to drive her to the mall. Your hypotheses are:

You calculate a test statistic of 1.860. Will you be driving your friend's little sister to the mall? True if yes, False if no.

Explanation / Answer

Test statistic = 1.860

Critical value = t0.05,17 = 1.74

Since test statistic is greater than critical value, we should reject the null hypothesis.

So, yes you will be driving your friend's little sister to the mall

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